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Finding the Fourth Proportional to 3,244.32, 4,866.80 and 872.37

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Solution

The fourth proportional to 3,244.32, 4,866.80 and 872.37 is: 1,308.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,244.32 : 4,866.80 = 872.37 : x
  2. Step 2: Convert to fraction form
    3,244.32/4,866.80 = 872.37/x
  3. Step 3: Cross multiply
    3,244.32x = 4,866.80 × 872.37
  4. Step 4: Simplify right side
    3,244.32x = 4,245,664.66
  5. Step 5: Solve for x
    x = 4,245,664.66/3,244.32
  6. Step 6: Final answer
    x = 1,308.64

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.